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Finding the Fourth Proportional to 800.01, 1,200.15 and 252.34

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Solution

The fourth proportional to 800.01, 1,200.15 and 252.34 is: 378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.01 : 1,200.15 = 252.34 : x
  2. Step 2: Convert to fraction form
    800.01/1,200.15 = 252.34/x
  3. Step 3: Cross multiply
    800.01x = 1,200.15 × 252.34
  4. Step 4: Simplify right side
    800.01x = 302,842.85
  5. Step 5: Solve for x
    x = 302,842.85/800.01
  6. Step 6: Final answer
    x = 378.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.